ON RANDOM TOPOLOGICAL MARKOV CHAINS WITH BIG IMAGES AND PREIMAGES

被引：9

作者：

Stadlbauer, Manuel ^{[1
]}

机构：

[1] Univ Porto, Dept Matemat Pura, Fac Ciencias, P-4169007 Oporto, Portugal

来源：

STOCHASTICS AND DYNAMICS | 2010年 / 10卷 / 01期

关键词：

Random countable Markov shift; random bundle transformation; Ruelle-Perron-Frobenius theorem; Markov chains with random transitions; finite primitivity; big images and preimages; THERMODYNAMIC FORMALISM; SHIFTS; TRANSFORMATIONS; EXISTENCE; SYSTEMS; THEOREM;

D O I：

10.1142/S0219493710002863

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We introduce a relative notion of the "big images and preimages"-property for random topological Markov chains. This condition then implies that a relative version of the Ruelle-Perron-Frobenius theorem holds with respect to summable and locally Holder continuous potentials.

引用

页码：77 / 95

页数：19

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